Question

Will give brainest!!!!

Answer 1

Answer:

x = 28/3

Step-by-step explanation:

We can solve this problem by using similar triangles:

Both of these triangles have a 90 degree angle and they share angle A, meaning that they are similar by AA similarity.

Now we can set up ratios and solve:

13/7 = (x+8)/x

multiply both sides by x:

13x/7 = x+8

Multiply both sides by 7:

13x = 7x + 56

move the 7x over and divide by 6:

6x = 56

x = 28/3

Answer 2

Answer:

9 1/3 or 9.3333333333

Step-by-step explanation:

Triangle ABC is similar to Triangle ADE because they are proportional.  It is a 7:13 ratio as shown by segments CB and ED.

Therefore, the ratio from AB to AD would also have to be 7:13.  The ratio as shown by the picture is x:x+8.  Therefore x:x+8=7:13.

Now you put this in fraction form.  $\frac{x}{x+8}$=$\frac{7}{13}$ You multiply both sides by X+8 and get X=$\frac{7x+56}{13}$.  Now you multiply both sides by 13 and get 13X=7x+56.  Now you have cleared the fractions so it looks neater.  Next, you subtract both sides by 7x and get 6x=56.  Finally you divide both sides by 6 and get x=9 1/3